document.write( "Question 179184: what is the value of n \r
\n" ); document.write( "\n" ); document.write( " n/3=16-n\r
\n" ); document.write( "\n" ); document.write( "i can't figure out how to get n on both sides of the equation
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Algebra.Com's Answer #134132 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You can do anything to an equation,
\n" ); document.write( "as long as you do the same thing to both sides
\n" ); document.write( "Some things you could do make it less simple
\n" ); document.write( "You want to make it more simple
\n" ); document.write( "\"n%2F3+=+16+-+n\"
\n" ); document.write( "1st I'll multiply both sides by \"3\"
\n" ); document.write( "\"3%2A%28n%2F3%29+=+3%2A%2816+-+n%29\"
\n" ); document.write( "\"n+=+48+-+3n\"
\n" ); document.write( "Now add \"3n\" to both sides
\n" ); document.write( "\"n+%2B+3n+=+48+-+3n+%2B+3n\"
\n" ); document.write( "\"4n+=+48\"
\n" ); document.write( "\"n+=+12\" answer
\n" ); document.write( "--------------------
\n" ); document.write( "Suppose I wanted to do something totally different?
\n" ); document.write( "Just to show you I'll get the same answer
\n" ); document.write( "I'll subtract \"n%2F3\" from both sides
\n" ); document.write( "\"n%2F3+-+n%2F3+=+16+-+n+-+n%2F3\"
\n" ); document.write( "\"0+=+16+-+n+-+n%2F3\"
\n" ); document.write( "Now I'll divide both sides by \"n\"
\n" ); document.write( "\"0%2Fn+=+16%2Fn+-+n%2Fn+-+%281%2Fn%29%2A%28n%2F3%29\"
\n" ); document.write( "\"0+=+16%2Fn+-+1+-+1%2F3\"
\n" ); document.write( "Add \"1+%2B+1%2F3\" to both sides
\n" ); document.write( "\"16%2Fn+=+3%2F3+%2B+1%2F3\"
\n" ); document.write( "\"16%2Fn+=+4%2F3\"
\n" ); document.write( "Multiply both sides by \"n\"
\n" ); document.write( "\"16+=+%284%2F3%29%2An\"
\n" ); document.write( "Multiply both sides by \"3\"
\n" ); document.write( "\"48+=+4n\"
\n" ); document.write( "\"n+=+12\"
\n" ); document.write( "That was the hard way, but I got the same answer
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